Course Content
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What is the Zero of a Polynomial?
06:51
Graph of a Linear Equation in 2 variables
03:18
The diagonals of a parallelogram always bisect each other
05:22
How to identify the coordinates of a point on the cartesian plane?
04:20
Line drawn through the center of a circle to bisect a chord is perpendicular to it
06:00
Space race – Transitivity of parallel lines
04:27
The sum of either pair of opposite angles of cyclic quadrilateral is 180°
07:12
How to construct a triangle given its base, a base angle and sum of other two sides?
07:28
How to construct a triangle given its base, a base angle and difference of other two sides?
08:59
Concept Outline – Number Systems
05:00
Objective Questions – Number Systems
12:00
HOTs – Number Systems
20:00
Case Study Questions – Number Systems
08:00
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00:00
Number Systems
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Whole Numbers, Integers, and the Number Line
05:39
Milestone 1
What are Rational Numbers?
06:57
Milestone 2
Converting Fractions to Decimal Numbers | Successive Magnification of decimals
05:31
Milestone 3
Exercise 1.1
00:00
Exercise 1.4
00:00
How to convert Terminating decimals into Fractions?
03:05
Milestone 4
How to convert Recurring decimals into Fractions?
04:56
Milestone 5
What are Irrational Numbers?
05:00
Milestone 6
Exercise 1.3
00:00
How to plot Irrational Numbers on a number line?
04:22
Milestone 7
Exercise 1.2
00:00
Laws of exponents: Product rule | Quotient rule
05:32
Milestone 8
Laws of exponents: Power of power rule
02:48
Milestone 9
Laws of exponents: Power of product rule
04:02
Milestone 10
Laws of exponents: Fractional exponent rule
06:05
Milestone 11
Exercise 1.6
00:00
What are Real Numbers?
09:17
Milestone 12
How to Rationalise the Denominator of a Real Number?
00:00
Milestone 13
Plotting Irrational Numbers using the Semi Circle Method
06:28
Milestone 14
Exercise 1.5
00:00
Solved Examples
00:00
Assignment
00:00
Polynomials
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What Are Polynomials?
08:53
Milestone 1
Polynomial Equations and their Graphs
05:09
Milestone 2
Exercise 2.1
00:00
What is the Zero of a Polynomial?
06:51
Milestone 3
Exercise 2.2
00:00
How can we add, subtract and multiply two polynomials?
03:30
Milestone 4
Polynomial Long Division
09:07
Milestone 5
Remainder theorem and Factor theorem
08:18
Milestone 6
Exercise 2.3
00:00
Quadratic Factorisation
10:38
Milestone 7
How to find the roots of a cubic polynomial?
06:46
Milestone 8
Exercise 2.4
00:00
Difference of squares identity | a² – b² = (a + b)(a – b)
04:07
Milestone 9
Perfect squares identity | (a + b)² = a² + b² + 2ab
03:58
Milestone 10
Product of binomials identity | (x + a) (x + b) = x² + (a + b)x + ab
04:04
Milestone 11
Square of trinomials (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac
05:06
Milestone 12
Cube of binomials identity | (a+b)³ = a³ + b³ + 3a²b + 3ab²
06:06
Milestone 13
Sum of Cubes identity | a³ + b³ = (a + b) (a² – ab + b²)
06:00
Milestone 14
Difference of Cubes identity | a³ – b³ = (a – b) (a² + ab + b²)
04:57
Milestone 15
Sum of 3 cubes identity | x³ + y³ + z³ – 3xyz = (x + y + z) (x² + y² + z² – xy – yz – xz)
05:35
Milestone 16
Exercise 2.5
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Solved Examples
00:00
Assignment
00:00
Coordinate Geometry
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What is the Cartesian system of coordinates?
07:12
Milestone 1
Exercise 3.1
00:00
How to identify the coordinates of a point on the cartesian plane?
04:20
Milestone 2
Exercise 3.2
00:00
How to plot points on a cartesian plane?
04:12
Milestone 3
Exercise 3.3
00:00
Solved Examples
00:00
Assignment
00:00
Linear Equations in Two Variables
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What are linear equations in 2 variables?
07:10
Milestone 1
Exercise 4.1
00:00
Exercise 4.2
00:00
Equations of Lines parallel to the x-axis and y-axis
04:22
Milestone 2
Exercise 4.4
00:00
Graph of a Linear Equation in 2 variables
03:18
Milestone 3
Exercise 4.3
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Solved Examples
00:00
Assignment
00:00
Introduction to Euclid’s Geometry
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Introduction
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Euclid’s Definitions
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What are axioms and postulates?
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Euclid’s Postulates (1 – 4)
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Two distinct lines cannot have more than one point in common
00:00
Exercise 5.1
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Euclid’s 5th Postulate
00:00
Exercise 5.2
00:00
Solved Examples
00:00
Lines and Angles
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What role do lines and angles play in our daily lives?
04:49
Milestone 1
Points, Lines, Angles and a little bit of snooker!
07:51
Milestone 2
Linear pair postulate and vertically opposite angles
06:15
Milestone 3
Exercise 6.1
00:00
What happens when a transversal intersects 2 parallel lines? The story of Eratosthenes
07:25
Milestone 4
Alternate interior angles theorem
04:08
Milestone 5
Alternate exterior angles theorem
05:14
Milestone 6
Converse of alternate interior angles theorem
04:52
Milestone 7
Converse of Alternate exterior angles theorem
04:59
Milestone 8
Stuck in space with the Co-Interior Angles Theorem
03:59
Milestone 9
Resurrection of Lord Dracula | Co-Exterior Angles Theorem
00:00
Milestone 10
Cast your spell carefully: Converse of Co-Interior Angles theorem
00:00
Milestone 11
Election Chaos at Dragonstone | Converse of Co-Exterior Angles Theorem
00:00
Milestone 12
Exercise 6.2
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Space race – Transitivity of parallel lines
00:00
Milestone 13
Exercise 6.3
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Solved Examples
00:00
Assignment
00:00
Triangles
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What are triangles and why do we love them?
05:48
Milestone 1
Angle sum property of triangles | Exterior angle property
04:48
Milestone 2
What is congruence and why do we care?
10:56
Milestone 3
ASA Congruence Criterion
07:28
Milestone 4
AAS Congruence Criterion
05:21
Milestone 5
Exercise 7.1
00:00
SSS Congruence Criterion
05:47
Milestone 6
RHS Congruence Criterion
05:23
Milestone 7
Isosceles Triangle Property
04:47
Milestone 8
Converse of Isosceles Triangle Property
04:47
Milestone 9
Exercise 7.2
00:00
Exercise 7.3
00:00
Longer side inequality theorem
05:37
Milestone 10
Converse of the Longer side inequality theorem
04:18
Milestone 11
Triangle inequality theorem
05:41
Milestone 12
Exercise 7.4
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Exercise 7.5
00:00
Solved Examples
00:00
Assignment
00:00
Quadrilaterals
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What are Quadrilaterals and why do we care?
08:20
Milestone 1
What are the conditions for a quadrilateral to be a parallelogram?
04:12
Milestone 2
A diagonal of a parallelogram divides it into two congruent triangles
04:30
Milestone 3
If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram
06:34
Milestone 4
In a parallelogram, opposite angles are equal
04:08
Milestone 5
If in a quadrilateral, each pair of opposite angles is equal then it is a parallelogram
05:42
Milestone 6
The diagonals of a parallelogram always bisect each other
05:22
Milestone 7
If the diagonals of a quadrilateral bisect each other then it is a parallelogram
05:42
Milestone 8
A quadrilateral is a parallelogram if a pair of opposite sides is equal and parallel
05:15
Milestone 9
Exercise 8.1
00:00
Space-Colosseum Escape | Midpoint Theorem of a Triangle
06:07
Milestone 10
Arc Reactor | Converse of the Midpoint Theorem of a Triangle
06:44
Milestone 11
Exercise 8.2
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Solved Examples
00:00
Assignment
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Areas of Parallelograms and Triangles
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Finding the areas of parallelograms and triangles
08:19
Milestone 1
Figures on the Same Base and Between the Same Parallels
10:37
Milestone 2
Exercise 9.1
00:00
Parallelograms that stand on the same base and lie between the same parallels are equal in area
07:25
Milestone 3
Exercise 9.2
00:00
Triangles that share the same base and lie between the same parallel lines have equal area
05:04
Milestone 4
Exercise 9.3
00:00
Two triangles having the same base (or equal bases) and equal areas lie between the same parallels
05:25
Milestone 5
Exercise 9.4
00:00
Solved Examples
00:00
Assignment
00:00
Circles
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So What Exactly Is a Circle?
08:26
Milestone 1
Exercise 10.1
00:00
Anatomy of a circle: Chords, Perpendiculars & Central angles
05:55
Milestone 2
Equal chords of a circle subtend equal angles at its center
04:56
Milestone 3
Chords that subtend equal angles at the center are also equal in length
05:07
Milestone 4
Exercise 10.2
00:00
Perpendicular drawn from the center of a circle to any of its chords splits it into 2 equal parts
04:19
Milestone 5
Line drawn through the center of a circle to bisect a chord is perpendicular to it
06:00
Milestone 6
Chords that are equal in length are also equidistant from the center
07:23
Milestone 7
Chords that are equidistant from the center are also equal in length
06:03
Milestone 8
Exercise 10.4
00:00
There is one and only one circle passing through 3 given non-collinear points
08:00
Milestone 9
Exercise 10.3
00:00
What are inscribed angles and why do we care?
04:26
Milestone 10
Relationship between central angles and inscribed angles | Angle subtended in a semi-circle
08:58
Milestone 11
Angles subtended by a chord in the same segment are always equal to each other
05:05
Milestone 12
Converse of Angles in the same segment of a circle are equal
08:23
Milestone 13
Cyclic Quadrilaterals: The Good, Bad and Ugly
03:46
Milestone 14
The sum of either pair of opposite angles of cyclic quadrilateral is 180°
07:12
Milestone 15
If the sum of a pair of opposite angles of a quadrilateral is 180º, the quadrilateral is cyclic
07:16
Milestone 16
Exercise 10.5
00:00
Solved Examples
00:00
Assignment
00:00
Constructions
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Geometric constructions 101
04:52
Milestone 1
How to construct the Perpendicular bisector of a given line?
05:13
Milestone 2
How to construct the angle bisector of a given angle?
08:44
Milestone 3
Constructing angles worth 30°, 45°, 60°, 90° and 120°
08:29
Milestone 4
Exercise 11.1
00:00
What are unique triangles and how do we construct them?
05:31
Milestone 5
How to construct a triangle given its base, a base angle and sum of other two sides?
07:28
Milestone 6
How to construct a triangle given its base, a base angle and difference of other two sides?
08:59
Milestone 7
How to construct a triangle given its perimeter and its two base angles?
10:57
Milestone 8
Exercise 11.2
00:00
Bonus: B for base, A for angle and SU for sum | New congruence criteria
08:22
Milestone 9
Bonus content: B for base, A for angle and DF for difference | A new congruence criteria
07:20
Milestone 10
Bonus content: A for angle, A for angle and P for perimeter | A new congruence criteria
05:01
Milestone 11
Solved Examples
00:00
Assignment
00:00
Heron’s Formula
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Heron’s Formula
08:04
Milestone 1
The Bermuda Triangle: Can Heron’s Formula Unlock Its Secrets?
08:58
Milestone 2
Exercise 12.1
00:00
Exercise 12.2
00:00
Solved Examples
00:00
Assignment
00:00
Surface Areas and Volumes
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Types of 3D solids: Prisms, Pyramids & Spheres
03:33
Milestone 1
What exactly is the surface area of an object?
03:02
Milestone 2
Surface area of Cubes and Cuboids
05:57
Milestone 3
Exercise 13.1
00:00
Surface area of a Cylinder
04:49
Milestone 4
Exercise 13.2
00:00
Surface area of a Cone
05:32
Milestone 5
Exercise 13.3
00:00
Surface area of Spheres & Hemispheres
05:27
Milestone 6
Exercise 13.4
00:00
Introducing Volumes: The ‘Eureka’ story
05:15
Milestone 7
Volume of Cubes and Cuboids
03:38
Milestone 8
Exercise 13.5
00:00
Volume of a Cylinder
03:00
Milestone 9
Exercise 13.6
00:00
The Nargle Chase | Volume of a Cone
04:14
Milestone 10
Exercise 13.7
00:00
The Zombie Apocalypse | Volume of a Sphere and a Hemisphere
04:51
Milestone 11
Exercise 13.8
00:00
Exercise 13.9
00:00
Solved Examples
00:00
Assignment
00:00
Statistics
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What is Statistics and why do we care?
04:15
Milestone 1
Types of data: Primary vs Secondary
04:12
Milestone 2
Exercise 14.1
00:00
Understanding Range and Raw data
03:34
Milestone 3
What are Tally Marks?
06:41
Milestone 4
Grouped frequency distribution
09:00
Milestone 5
Exercise 14.2
00:00
Seeing Data: What is Data Visualisation?
05:36
Milestone 6
What is a Bar Graph?
07:38
Milestone 7
What is a Histogram?
09:17
Milestone 8
What is a Frequency Polygon?
08:35
Milestone 9
Exercise 14.3
00:00
Mean, Median, and Mode: Measures of Central Tendency
08:31
Milestone 10
Exercise 14.4
00:00
Solved Examples
00:00
Assignment
00:00
Probability
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The Monty Hall Problem | Introduction to Probability
06:15
Milestone 1
The Sorting Hat’s Guide to Experimental Probability
05:59
Milestone 2
Exercise 15.1
00:00
Solved Examples
00:00
Assignment
00:00
Sample Papers
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Sample Paper 1
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Sample Paper 1: Solution
00:00
Sample Paper 2
00:00
Sample Paper 2: Solution
00:00
Sample Paper 3
00:00
Sample Paper 3: Solution
00:00
Math in Action
About Lesson

In the mystical land of Kung Fu, a math professor named Shifu sets out on a quest to find the coordinates of an ancient academy carved into a nearby mountain. With the help of the wise monk Oogway, Shifu uses the graph of linear equations in two variables to determine the correct location of the academy and save it from being lost forever. Follow Shifu on his journey as he uses math to solve the mystery and bring peace to the Valley of Peace. 

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